Title: A note on the bi-periodic Fibonacci and Lucas matrix sequences
Abstract: In this paper, we introduce the bi-periodic Lucas matrix sequence and present some fundamental properties of this generalized matrix sequence. Moreover, we investigate the important relationships between the bi-periodic Fibonacci and Lucas matrix sequences. We express that some behaviours of bi-periodic Lucas numbers also can be obtained by considering properties of this new matrix sequence. Finally, we say that the matrix sequences as Lucas, $k$-Lucas and Pell-Lucas are special cases of this generalized matrix sequence.
Publication Year: 2016
Publication Date: 2016-04-04
Language: en
Type: preprint
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Cited By Count: 2
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